Wave Nature of Matter — Prelims Questions

An electron is accelerated through a potential difference of $V$ volts. What is its de Broglie wavelength?

Calculate the de Broglie wavelength of a proton moving with a speed of $10^5\,\text{m/s}$. (Given: mass of proton $m_p = 1.67 \times 10^{-27}\,\text{kg}$, Planck's constant $h = 6.626 \times 10^{-34}\,\text{J\cdot s}$)

Which of the following particles, all moving with the same kinetic energy, will have the shortest de Broglie wavelength?

If the de Broglie wavelength of a particle is $1.0\,\text{nm}$, what is its momentum? (Given: Planck's constant $h = 6.626 \times 10^{-34}\,\text{J\cdot s}$)

Which of the following statements about matter waves is INCORRECT?

Two particles, A and B, have the same de Broglie wavelength. If particle A is an electron and particle B is a proton, what is the ratio of their kinetic energies ($K_A/K_B$)? (Given: mass of electron $m_e$, mass of proton $m_p$)